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Finding the Third Proportional to 46,052 and 69,979

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Solution

The third proportional to 46,052 and 69,979 is: 106,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,052 : 69,979 = 69,979 : x
  2. Step 2: Convert to fraction form
    46,052/69,979 = 69,979/x
  3. Step 3: Cross multiply
    46,052x = 69,979 × 69,979
  4. Step 4: Simplify right side
    46,052x = 4,897,060,441
  5. Step 5: Solve for x
    x = 4,897,060,441/46,052
  6. Step 6: Final answer
    x = 106,337.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.